261713400 has 288 divisors, whose sum is σ = 919026000. Its totient is φ = 61501440.

The previous prime is 261713399. The next prime is 261713449. The reversal of 261713400 is 4317162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2940556 + ... + 2940644.

Almost surely, 2^261713400 is an apocalyptic number.

261713400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459513000).

261713400 is an abundant number, since it is smaller than the sum of its proper divisors (657312600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261713400 is a wasteful number, since it uses less digits than its factorization.

261713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 261713400 is about 16177.5585302604. The cubic root of 261713400 is about 639.6493847783.

The spelling of 261713400 in words is "two hundred sixty-one million, seven hundred thirteen thousand, four hundred".